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6 Equal Divisions of the Octave

"whole tone"

6-edo divides the 1200-cent octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2.

Related EDOs

• Superset: 2edo, 3edo
• Supersets: 12edo, 18edo, 24edo...
• Neighbours: 5edo, 7edo

Notation

• Notatable on a five-line staff with standard.

Music

Dvandva by Milan Guštar.
The Good Boundless by Chris Vaisvil

Commas

6 EDO tempers out the following commas. (Note: This assumes val < 6 10 14 17 21 22 |.)

Comma	Value (cents)	Name	Second Name	Val
32/27	294.13	Pythagorean minor third		| 5 -3 >
128/125	41.06	Diesis	Augmented Comma	| 7 0 -3 >
3125/3072	29.61	Small Diesis	Magic Comma	| -10 -1 5 >
393216/390625	11.45	Wuerschmidt Comma		| 17 1 -8 >
2783927/2773137	6.72	Mutt Comma		| -44 -3 21 >
49/48	35.70	Slendro Diesis		| -4 -1 0 2 >
50/49	34.98	Tritonic Diesis	Jubilisma	| 1 0 2 -2 >
3136/3125	6.08	Hemimean		| 6 0 -5 2 >
6144/6125	5.36	Porwell		| 11 1 -3 -2 >
2401/2400	0.72	Breedsma		| -5 -1 -2 4 >
121/120	14.37	Biyatisma		| -3 -1 -1 0 2 >
176/175	9.86	Valinorsma		| 4 0 -2 -1 1 >
385/384	4.50	Keenanisma		| -7 -1 1 1 1 >